2. 2 10 3535 5656 4747 9595 2121 5151 9393 10 2 6363 7373 2 10 3535 5656 4747 9595 2121 5151 9393 10 2 6363 7373 exponents

3. Powers and Exponents factorspowers exponentscubed basesquared

4. 2323 is two to the third power or 2 cubed 4242 is four to the second power or four squared 5454 is five to the fourth power

5. How do you ‘say’ this? 10 5 ten to the fifth power.

6. 10 5 Exponent The small raised number Base The big number Power The whole package is called a power }

7. 10 5 = 10 · 10 · 10 · 10 · 10 factors

8. Evaluate. 10 5 = 100,000 Evaluate: To calculate a numerical value as simple as can be.

9. Example Write 2 · 2 · 2 · 2 · 2 using exponents 2 · 2 · 2 · 2 · 2 = 2 5

10. Example Write 7 · 4 · 7 · 4 · 7 using exponents rewrite it: 4 · 4 · 7 · 7 · 7 = 4 2 · 7 3

11. Example Evaluate 5 3 5353 = 5 · 5 · 5 125

12. Example Evaluate 4 3 - 2 2 4 3 - 2 2 = (4 · 4 · 4) - (2 · 2) = 64 - 4 = 60

13. Example Evaluate 6 2 + 8 2 = 6 2 + 8 2 = 6 · 6 + 8 · 8 = 36 + 64 = 100

14. Products and Quotients of Powers

15. In this lesson we are only going to talk about finding Products and Quotients of powers with the SAME base.

16. 8 4 · 8 2 8 4 · 8 2 = (8 · 8 · 8 · 8) · (8 · 8) = 8 · 8 · 8 · 8 · 8 · 8 = 8686

17. 8 4 · 8 2 Notice the exponent of the first 8 is 4 and the second is 2. 4 + 2 is 6. Each exponent is just a count of how many 8’s are being multiplied together, if we add them together we get the same answer..

18. 8 4 · 8 2 8 4 · 8 2 = 8 (4 + 2) = 8686

19. 8 4 ÷ 8 2 (8 · 8 · 8 · 8) (8 · 8) 84828482 = 8 8 8 8 8 8 8 8 = 8 · 8 = 8282 Or you could just subtract the exponents

20. 8 4 ÷ 8 2 8 4 ÷ 8 2 = 8 (4 – 2) = 8282